Finding the Third Proportional to 18,238.50 and 37,740.75

Step by Step Solution

1. Step 1: Write the proportion equation
   18,238.50 : 37,740.75 = 37,740.75 : x
2. Step 2: Convert to fraction form
   18,238.50/37,740.75 = 37,740.75/x
3. Step 3: Cross multiply
   18,238.50x = 37,740.75 × 37,740.75
4. Step 4: Simplify right side
   18,238.50x = 1,424,364,210.56
5. Step 5: Solve for x
   x = 1,424,364,210.56/18,238.50
6. Step 6: Final answer
   x = 78,096.57